Details

analyze1.3s (7.7%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	75%	25%	3
0%	62.5%	37.5%	4
0%	56.2%	43.8%	5
3.1%	46.9%	50%	6
3.1%	45.3%	51.6%	7
3.1%	44.5%	52.4%	8
3.5%	44.1%	52.4%	9
3.7%	43.9%	52.4%	10
3.8%	43.8%	52.4%	11
3.8%	43.8%	52.4%	12
3.8%	43.8%	52.4%	13
3.8%	43.7%	52.4%	14

Compiler

Compiled 38 to 31 computations (18.4% saved)

sample288.0ms (1.6%)

Algorithm

1×

intervals

Results

76.0ms	124×	body	1024	valid
76.0ms	138×	body	1024	nan
36.0ms	23×	body	2048	valid
31.0ms	72×	body	512	valid
27.0ms	67×	body	512	nan
9.0ms	32×	body	256	nan
6.0ms	20×	body	256	valid
3.0ms	17×	body	128	valid
1.0ms	1×	body	2048	nan
0.0ms	1×	body	128	nan

Compiler

Compiled 75 to 62 computations (17.3% saved)

simplify234.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (103.0ms)

Iter	Nodes	Cost
0	4795	55
1	4795	55

prune9.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Error

61.6b

Counts

2 → 1

Compiler

Compiled 64 to 48 computations (25% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 (/.f64 PI.f64 4) f)
0.2b	(*.f64 (/.f64 PI.f64 4) f)
2.2b	(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 PI.f64 4) f)) (pow.f64 (exp.f64 -1/4) (.f64 PI.f64 f))) (-.f64 (exp.f64 (.f64 (/.f64 PI.f64 4) f)) (pow.f64 (exp.f64 -1/4) (.f64 PI.f64 f))))
4.6b	(-.f64 (exp.f64 (.f64 (/.f64 PI.f64 4) f)) (pow.f64 (exp.f64 -1/4) (.f64 PI.f64 f)))

rewrite562.0ms (3.2%)

Algorithm

1×	rewrite-expression-head

Error

61.5b

Rules

75×	`add-sqr-sqrt_binary64`
63×	`*-un-lft-identity_binary64`
48×	`times-frac_binary64`
35×	`add-cube-cbrt_binary64`
26×	`associate-l_binary64`
18×	`difference-of-squares_binary64`
16×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`unpow-prod-down_binary64`
8×	`pow1_binary64` `distribute-lft-out_binary64`
7×	`sqr-pow_binary64` `cancel-sign-sub-inv_binary64` `associate-/r*_binary64`
6×	`add-log-exp_binary64` `distribute-lft-out--_binary64` `associate-r_binary64`
4×	`associate-/l*_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64`
3×	`div-exp_binary64` `cbrt-undiv_binary64` `div-inv_binary64`
2×	`flip3--_binary64` `flip--_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `pow-prod-down_binary64` `associate-l/_binary64` `-commutative_binary64`
1×	`diff-log_binary64` `sub-neg_binary64` `frac-2neg_binary64` `clear-num_binary64` `flip3-+_binary64` `flip-+_binary64`

Counts

4 → 141

Calls

4 calls:

13.0ms	(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 PI.f64 4) f)) (pow.f64 (exp.f64 -1/4) (.f64 PI.f64 f))) (-.f64 (exp.f64 (.f64 (/.f64 PI.f64 4) f)) (pow.f64 (exp.f64 -1/4) (.f64 PI.f64 f))))
8.0ms	(-.f64 (exp.f64 (.f64 (/.f64 PI.f64 4) f)) (pow.f64 (exp.f64 -1/4) (.f64 PI.f64 f)))
7.0ms	(*.f64 (/.f64 PI.f64 4) f)
7.0ms	(*.f64 (/.f64 PI.f64 4) f)

Compiler

Compiled 6543 to 4377 computations (33.1% saved)

series345.0ms (2%)

Error

2.7b

Counts

4 → 12

Calls

4 calls:

169.0ms	(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 PI.f64 4) f)) (pow.f64 (exp.f64 -1/4) (.f64 PI.f64 f))) (-.f64 (exp.f64 (.f64 (/.f64 PI.f64 4) f)) (pow.f64 (exp.f64 -1/4) (.f64 PI.f64 f))))
72.0ms	(-.f64 (exp.f64 (.f64 (/.f64 PI.f64 4) f)) (pow.f64 (exp.f64 -1/4) (.f64 PI.f64 f)))
46.0ms	(*.f64 (/.f64 PI.f64 4) f)
37.0ms	(*.f64 (/.f64 PI.f64 4) f)

Compiler

Compiled 1240 to 921 computations (25.7% saved)

simplify107.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

153 → 153

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5172	5387

prune487.0ms (2.8%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	147	6	153
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	148	6	154

Error

2.7b

Counts

154 → 6

Compiler

Compiled 6780 to 4557 computations (32.8% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(log.f64 (/.f64 2 (.f64 f (.f64 PI.f64 1/2))))
0.2b	(.f64 f (.f64 PI.f64 1/2))
0.2b	(/.f64 2 (.f64 f (.f64 PI.f64 1/2)))
0.4b	(.f64 (log.f64 (/.f64 2 (.f64 f (*.f64 PI.f64 1/2)))) (/.f64 -4 PI.f64))

rewrite159.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

2.3b

Rules

33×	`add-exp-log_binary64`
23×	`add-cbrt-cube_binary64`
22×	`add-sqr-sqrt_binary64`
17×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
16×	`times-frac_binary64`
14×	`associate-r_binary64`
13×	`pow1_binary64`
11×	`prod-exp_binary64`
8×	`cbrt-unprod_binary64`
7×	`div-exp_binary64` `associate-l_binary64` `log-prod_binary64`
4×	`pow-prod-down_binary64` `add-log-exp_binary64` `cbrt-undiv_binary64` `rem-log-exp_binary64`
3×	`div-inv_binary64` `associate-/l*_binary64`
2×	`unswap-sqr_binary64` `log-pow_binary64` `*-commutative_binary64`
1×	`associate-r/_binary64` `frac-2neg_binary64` `clear-num_binary64` `associate-/r_binary64` `log-div_binary64`

Counts

4 → 94

Calls

4 calls:

12.0ms	(.f64 (log.f64 (/.f64 2 (.f64 f (*.f64 PI.f64 1/2)))) (/.f64 -4 PI.f64))
6.0ms	(/.f64 2 (.f64 f (.f64 PI.f64 1/2)))
5.0ms	(log.f64 (/.f64 2 (.f64 f (.f64 PI.f64 1/2))))
5.0ms	(.f64 f (.f64 PI.f64 1/2))

Compiler

Compiled 1805 to 1377 computations (23.7% saved)

series321.0ms (1.8%)

Error

2.4b

Counts

4 → 12

Calls

4 calls:

141.0ms	(.f64 (log.f64 (/.f64 2 (.f64 f (*.f64 PI.f64 1/2)))) (/.f64 -4 PI.f64))
94.0ms	(log.f64 (/.f64 2 (.f64 f (.f64 PI.f64 1/2))))
46.0ms	(/.f64 2 (.f64 f (.f64 PI.f64 1/2)))
29.0ms	(.f64 f (.f64 PI.f64 1/2))

Compiler

Compiled 420 to 356 computations (15.2% saved)

simplify68.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5045	1497

prune152.0ms (0.9%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	94	12	106
Fresh	0	5	5
Picked	1	0	1
Done	0	0	0
Total	95	17	112

Error

2.3b

Counts

112 → 17

Compiler

Compiled 2010 to 1439 computations (28.4% saved)

localize7.0ms (0%)

Local error

Found 4 expressions with local error:

0.0b	(log.f64 (/.f64 4 (*.f64 PI.f64 f)))
0.2b	(*.f64 PI.f64 f)
0.2b	(/.f64 4 (*.f64 PI.f64 f))
0.3b	(/.f64 (log.f64 (/.f64 4 (*.f64 PI.f64 f))) PI.f64)

rewrite129.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

2.3b

Rules

21×	`add-sqr-sqrt_binary64`
19×	`add-exp-log_binary64` `add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
18×	`times-frac_binary64`
13×	`add-cbrt-cube_binary64`
11×	`pow1_binary64`
7×	`associate-/l*_binary64` `log-prod_binary64`
5×	`div-exp_binary64` `log-pow_binary64`
4×	`add-log-exp_binary64` `associate-/r*_binary64`
3×	`cbrt-undiv_binary64` `div-inv_binary64` `prod-exp_binary64` `associate-l_binary64` `associate-r_binary64` `rem-log-exp_binary64`
2×	`frac-2neg_binary64` `log-div_binary64` `clear-num_binary64` `cbrt-unprod_binary64`
1×	`div-sub_binary64` `pow-prod-down_binary64` `unswap-sqr_binary64` `*-commutative_binary64`

Counts

4 → 90

Calls

4 calls:

6.0ms	(/.f64 (log.f64 (/.f64 4 (*.f64 PI.f64 f))) PI.f64)
4.0ms	(/.f64 4 (*.f64 PI.f64 f))
4.0ms	(log.f64 (/.f64 4 (*.f64 PI.f64 f)))
4.0ms	(*.f64 PI.f64 f)

Compiler

Compiled 1468 to 910 computations (38% saved)

series295.0ms (1.7%)

Error

2.3b

Counts

4 → 12

Calls

4 calls:

120.0ms	(/.f64 (log.f64 (/.f64 4 (*.f64 PI.f64 f))) PI.f64)
85.0ms	(log.f64 (/.f64 4 (*.f64 PI.f64 f)))
50.0ms	(/.f64 4 (*.f64 PI.f64 f))
22.0ms	(*.f64 PI.f64 f)

Compiler

Compiled 402 to 339 computations (15.7% saved)

simplify82.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	5068	1423

prune140.0ms (0.8%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	96	6	102
Fresh	8	8	16
Picked	1	0	1
Done	0	0	0
Total	105	14	119

Error

2.3b

Counts

119 → 14

Compiler

Compiled 1873 to 1245 computations (33.5% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.5b	(/.f64 (*.f64 (cbrt.f64 2) (cbrt.f64 2)) f)
1.0b	(cbrt.f64 2)
1.0b	(cbrt.f64 2)
1.0b	(cbrt.f64 2)

rewrite101.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

2.3b

Rules

9×	`add-exp-log_binary64` `add-cube-cbrt_binary64` `cbrt-prod_binary64` `add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
7×	`add-cbrt-cube_binary64`
4×	`pow1_binary64` `add-log-exp_binary64`
3×	`pow1/3_binary64` `times-frac_binary64` `associate-/r*_binary64`
2×	`div-exp_binary64` `cbrt-undiv_binary64`
1×	`prod-exp_binary64` `cbrt-unprod_binary64` `frac-2neg_binary64` `clear-num_binary64` `div-inv_binary64` `associate-/l*_binary64`

Counts

4 → 54

Calls

4 calls:

6.0ms	(/.f64 (*.f64 (cbrt.f64 2) (cbrt.f64 2)) f)
1.0ms	(cbrt.f64 2)
1.0ms	(cbrt.f64 2)
1.0ms	(cbrt.f64 2)

Compiler

Compiled 1331 to 1144 computations (14% saved)

series77.0ms (0.4%)

Error

2.3b

Counts

4 → 3

Calls

4 calls:

71.0ms	(/.f64 (*.f64 (cbrt.f64 2) (cbrt.f64 2)) f)
0.0ms	(cbrt.f64 2)
0.0ms	(cbrt.f64 2)
0.0ms	(cbrt.f64 2)

Compiler

Compiled 171 to 158 computations (7.6% saved)

simplify82.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	5069	459

prune110.0ms (0.6%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	56	1	57
Fresh	0	13	13
Picked	0	1	1
Done	0	0	0
Total	56	15	71

Error

2.3b

Counts

71 → 15

Compiler

Compiled 1303 to 1116 computations (14.4% saved)

regimes1.3s (7.2%)

Accuracy

Total 0.4b remaining (19.8%)

Threshold costs 0.4b (19.8%)

Compiler

Compiled 13830 to 11174 computations (19.2% saved)

bsearch9.0ms (0%)

Compiler: Compiled 29 to 23 computations (20.7% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	104	145
1	104	145

end0.0ms (0%)

sample11.0s (63.2%)

Algorithm

1×

intervals

Results

2.5s	3992×	body	1024	valid
2.4s	4033×	body	1024	nan
886.0ms	1951×	body	512	valid
839.0ms	1984×	body	512	nan
656.0ms	497×	body	2048	valid
298.0ms	962×	body	256	valid
264.0ms	947×	body	256	nan
96.0ms	598×	body	128	valid
4.0ms	4×	body	2048	nan
0.0ms	2×	body	128	overflowed
0.0ms	1×	body	128	nan

Compiler

Compiled 2381 to 1919 computations (19.4% saved)

Details

analyze1.3s (7.7%)

sample288.0ms (1.6%)

simplify234.0ms (1.3%)

prune9.0ms (0.1%)

localize18.0ms (0.1%)

rewrite562.0ms (3.2%)

series345.0ms (2%)

simplify107.0ms (0.6%)

prune487.0ms (2.8%)

localize13.0ms (0.1%)

rewrite159.0ms (0.9%)

series321.0ms (1.8%)

simplify68.0ms (0.4%)

prune152.0ms (0.9%)

localize7.0ms (0%)

rewrite129.0ms (0.7%)

series295.0ms (1.7%)

simplify82.0ms (0.5%)

prune140.0ms (0.8%)

localize14.0ms (0.1%)

rewrite101.0ms (0.6%)

series77.0ms (0.4%)

simplify82.0ms (0.5%)

prune110.0ms (0.6%)

regimes1.3s (7.2%)

bsearch9.0ms (0%)

simplify4.0ms (0%)

end0.0ms (0%)

sample11.0s (63.2%)

Profiling